K Problem Solving Deck A

8/18/2019 K Problem Solving Deck A

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PROBLEM

SOLVING

Set A

Compiled by members of the TEAM project

"Teaching Excellence and Mathematics"

Department of Public Instruction

301 N. Wilmington Street

Raleigh, NC 27601-2825

Michael E. Ward, Superintendent

There are many commercial resources

available to challenge students to

become better problem solvers. This is

a collection of some of our favorite

problems.

You might consider allowing students

to work with partners. Many of these

problems are best solved with

calculators. All of these problems lend

themselves to students telling and writ-

ing about their thinking.

Consider expanding this problem-

solving deck by adding your own

problems on the backs of the cards or

photocopying the blank master we

have included for you.

We hope you will share your greatproblems with us. Send them to :

Mathematics Section

Department of Public Instruction

301 N. Wilmington St.

Raleigh, NC 27601-2825Original funding through D. D. EisenhowerMathematics and Science Education Program


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Problem

Solving Strategies

1. Act out the problem

2. Use models and

manipulatives

3. Make a picture or a

diagram

4. Make a table or chart

5. Make an organized list

6. Work backwards

7. Use logical reasoning;

deduction

8. Guess and check

9. Use or look for a

pattern10. Solve a simpler

problem

11. Write an equation

12. Brainstorm ideas


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There are many commercial

resources available to challenge

students to become betterproblem solvers. This is a

collection of some of our favorite

problems.

You might consider allowing stu-

dents to work with partners. Many

of these problems are best solved

with calculators. All of theseproblems lend themselves to stu-

dents telling and writing about

their thinking.

Consider expanding this problem

solving deck by adding your own

problems on the backs of the cards

or photocopying the blank masterswe have included for you. We

hope you will share your great

problems with us. Send them to

Jeane Joyner at the address on the

back of this card.


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Set A Set A

You have the following digits…

7, 5, 2, 4, 6, 3. What is the largest2-digit number you can make?

What is the smallest 2-digit

number?

What is the largest 2-digit number

you can make with the digits thatare left over? the smallest?

•How can you use a calculator tohelp you count by twos backwards

from twenty?

•How many ways can you use a

calculator to add three fives?

•How can you use a calculator toadd two numbers?

Card 1 Card 2


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Set A Set A

I have 6 coins worth 51¢. Whatcoins do you think I have? Is

there more than one answer?

Mary likes to dress up her dogs.One wears a hat, one wears a

coat, and one wears a scarf. Their

names are Spot, Tag, and Barney.

Tag loves to wear a scarf. Spot

won’t wear the coat. Match each

dog with what it wears. Explain

your thinking.

Card 3 Card 4


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Set A Set A

Five children are playing on the

playground. The teacher called

the children in for a snack. She

had 20 cookies. How many

cookies did each child get? Which is heavier…

• 15 large nails or 12 Unifix

cubes?

• 5 large sea shells or 16 small seashells?

• 15 large beans or 5 old keys?

• 8 Unifix cubes or 8 acorns?

Find what will balance…

• One milk carton (filled with

water)• a half cup of beans

• 10 keys

• a dozen nuts

Card 5 Card 6


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Set A Set A

Beauty is trying to tell the Beast

about apples. He knows onlyabout oranges. What would you

tell the Beast about ways an

orange is like an apple and how

they are different. He knows

about grapes, but not bananas.

Compare grapes and bananas forthe Beast.

Mr. Brown has opened a shoe store.

The graph shows the kinds of shoes

he sold the first month. It is time toorder shoes for the store. What

should he order the most of? the

least?

Card 7 Card 8

TT T T hh h h ee e e SS S S hh h h oo o o ee e e SS S S tt t t oo o o rr r r

SSSSnnnneeeeaaaakkkkeeeerrrr DDDDrrrreeeessssssss

SSSShhhhooooeeeessssSSSSaaaannnnddddaaaallll

13

12

11

10

9

8

7

6

5

4

3

2

1

0

The Shoe Store


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Set A Set A

Faye has 2 nickels and 15pennies. Her brother has

lots of nickels and dimes.

Faye trades equal value for

different coins. What could

she have traded? She trades

once more with her mother.

What do you think she hasnow?

This morning you got out yoursocks and sneakers. You had a

pair of blue sneakers and a pair of

black sneakers. You had a pair of

red socks and a pair of green

socks. What different ways could

you have worn them?

Card 9 Card 10


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Set A Set A

Our class is working on a

program to present to the

school. Half the children will

stand, half will sit. How can

we arrange the children?

Bill is at the zoo. He sees

14 legs. How many storks?

He sees 4 giraffes. How many

legs?

Then he sees 8 legs, how many

elephants? If he sees 6 zebras,

How many legs? Explain your

answers.

Card 11 Card 12


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Set A Set A

Kevin has earned 10 stickersfor reading books. He can

trade the stickers for items

in the class store.

What can Kevin get with

his 10 stickers?

What is the question?

1. The answer is 2. What is

the question?


the question?


the question?

1 sticker - bookmark

2 stickers - eraser

3 stickers - pencil4 stickers - notepad

Card 13 Card 14


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Set A Set A

Solve the double riddles:

1. My double is more than

16._____

2. My double is less than

4._____

3. My double is between 12

and 16. _____

4. Double me and get12._____

5. My double has 2 digits.

One of them is 4. I am less

than 9._____

6. My double rhymes with

gate.7. Double me and you will

have half of 20.

Jermane said, "I think the number

of legs in this room is more than ahundred."

a. Could this be true? Explain.

b. How many legs are in this

classroom?

Card 15 Card 16


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Set A Set A

If 4 children are sitting at a table,

how many feet are under the table?

If there are 6 children- how many

feet?

Explain how you got your

answers.

Mom is baking a cake for Erin’s

birthday party. She needs 8 eggs.

She has 6. Grandma gave her 1.

How many more does she need?

Card 17 Card 18


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Set A Set A

•How can you use the calculator

to find how many twos are insixteen?

•How can you change twenty

into thirty without using the clear

key?

•How can you change twelve

into eleven without using the

clear key?

1. What do the numbers on the

side of this graph mean?

Explain what the colors mean.2. How many children are in this

class?

3. Tell as many things as you can

about this graph.

My Favorite Color

Numberofstudents

11

10

9

8

7

6

5

4

3

2

1

RED BLUE GREEN YELLOW

Card 19 Card 20


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Set A Set A

1111 22

On a farm, a worm came out of his

hole. He saw 10 legs. How manychickens and horses did he see?

Donna is playing an addition game

with her brother. She must find 2

cards that show 7 hearts all

together. Here are her cards. Can

she go out this turn? What pairs

can she play?

Card 21 Card 22


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Set A Set A

Find two things that cost the same

amount as a ball. Are there other

possible answers?

pencil 5¢

ball 10¢

eraser 3¢

hat 8¢gum 2¢

candy 7¢

If you have 15¢, what could you

buy?

Use red, yellow, brown, green,

and blue Unifix cubes and make 5

sticks of different lengths. Your

sticks should have more than 2

cubes but fewer than 20 cubes.

Now solve these puzzles and tell

how many.

1. The difference betweenyellow and brown.

2. The sum of blue and brown.

3. The difference between

green and blue.

4. The sum of red, brown, and

blue.

5. Which is longer, red plus

yellow or brown plus green?

Write 5 different puzzles for your

friend to solve.

Card 23 Card 24


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Set A Set A

NNeeee JJeeee

FFFFrrrreeeedddd TTTTeeeedddd

1. I have a leaf.

2. I have a smile.

3. I have a circle nose.

Who am I?

Ten alligators went down to theriver. Three of them laid eggs.

They laid 5 eggs each. A snake ate

8 eggs. How many eggs are left?

Card 25 Card 26


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Set A Set A

Four children are lining up for

lunch. Their names are Lin, Bill,

Jon, and Mary. Lin is first. Bill

is last. Mary is behind Lin and in

front of Jon. Who is third in line?

Cover your library book with

Unifix cubes. The cubes musttouch and cover the entire book.

How many cubes did it take?

Find someone who used the

same number of cubes as you

did. Snap your cubes into tens

and ones. Find someone who

used 10 more or 10 fewer cubes

than you did.

Card 27 Card 28


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Set A Set A

Kim is 7 years old.

Marcus is 2 years older than

Kim.

Joe is 3 years older than

Marcus.

How old are Marcus and Joe?

You have a sphere, a cube, a

cylinder, a cone, a rectangular

prism and a pyramid. Which

shapes will stack? Which shapes

will roll? Explain your reasons

for each answer.

Card 29 Card 30


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Set A Set A

Josef gets 50¢ for allowance each

Saturday. On Monday, he bought

a pencil for 10¢. On Tuesday, he

spent 15¢ on candy. On Wednes-

day, he wanted to buy a ball that

cost 30¢. Did he have enough

money? Explain.

Some students have birthdays in

these months: 4 in March, 5 inApril, 3 in May and 1 in June.

Make a graph to show this infor-

mation.

Use your graph to write ques-tions for the following answers:

1. The answer is 8.

2. The answer is 1.

Card 31 Card 32


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Set A Set A

Use a calendar to answer these

questions:

1. Mom goes to the store every

Thursday. How many times

will she go this month?

2. Dad works every Monday,

Tuesday, Wednesday, andThursday. How many days

will he go to work this month?

3. The bowling alley has a “Free

Game” night every second

and fourth Wednesday nights.

What are the dates for the

“Free Game” nights this

month?

"What’s My Name?”

1. I’m greater than 10.

2. I’m an even number.

3. I’m less than 25.

4. When you count by 5's,

you say my name.

Card 33 Card 34


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Set A Set A

Start at 5. Count on 6 more. Whatis the number? Count on 2 more.

What is the number? Count on 10

more. What is the number? Count

on 4 more. What is the number?

Do this again and write your

answers at every step.

Now repeat this starting with 15.

Repeat again with 25.

What do you notice?

Pete has two puppies and 10 puppy

treats to give them. How many

will each puppy get if Pete passes

them out equally?

If Pete doesn’t pass them out

equally, what are some other ways

the treats could be shared?

Card 35 Card 36


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Set A Set A

A dragon blows fire for two hourseveryday. How many hours

would he blow fire in a school

day? in a school week?

Explain how you got your

answer.

Mrs. Jones was lining up her classto get their pictures taken. Listen

to the names she called and find

the pattern she used: John, Sarah,

Tom, Judy, Bill, Laura. Write the

names to show what Mrs. Jones

might have said if she helped 10

children from your class line up.

Card 37 Card 38


23/37

Set A Set A

Our worm, Boogie, can crawl

three inches in one minute.How many inches can he crawl in

two minutes? five minutes?

How did you figure this out?

A bag of shapes fell behind a chair.

When Mom reached behind thechair, she felt two shapes that had

no corners. She felt some other

shapes that had corners. If there

was a total of 26 corners, what

shapes do you think she found?

Draw a picture to explain or write

about your answer.

Card 39 Card 40


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Set A Set A

Sam has 4 tables for his birthdayparty. His mother puts the same

number of things at each table. He

has 16 plates, 8 horns, 4 flowers,

and 16 chairs.

Draw the four tables. Then draw

the things at each table. Howmany things are at each table?

Tonya has 4 coins. How muchmoney could she have?

Are there any other possible

answers?

Card 41 Card 42


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Set A Set A

Six dinosaurs had a race. Twodinosaurs tied for second. Speedy

was one of them.

Little T was ahead of Goofy. Goofy

beat Little Dino.

Sleepy came in last. Steggy was

beaten by only one other dinosaur.

Who won the race?

Show the order in which the

dinosaurs crossed the finish line.

Joe bought 7 green lollipops.

There are 3 fewer yellow

lollipops than green lollipops.

There are 2 more red lollipops

than yellow lollipops.

How many lollipops are there?

Show how you got your answer.

Card 43 Card 44


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Set A Set A

Judy and Mary are at the fair.

They have ten more minutesbefore they have to leave. They

have three tickets each to ride

three rides each. What three

rides could they take before

they have to leave?

Roller Coaster - 6 minutes

Ferris Wheel - 2 minutes

Bumper Cars - 5 minutes

Swings - 1 minute

Tea Cups - 4 minutes

Merry-Go-Round - 3 minutes

What Time Is It?

• The little hand is on the

hour.

• It is an odd number.

• It is between 2 and

4 o’clock.

Write a time puzzle for a friend.

Card 45 Card 46


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Set A Set A

Fold a sheet of paper in half two

times. Punch one hole with ahole punch. When you unfold

the paper, how many holes will

be in it?

Unfold the paper. Were you

right? Can you fold a paper sothat when you punch one hole,

you will have three holes when

you unfold the paper?

Use the picture and the clues to find

the number.

1. I am in the rectangle. I am

not in the square.

2. I am in the square. I am not

in the triangle or rectangle.

3. I am in the circle and the

triangle.

Write two different number

riddles.

1111222233335555

66667777

8888

Card 47 Card 48


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Set A Set A

Farmer Brown and his wife planted

vegetables each day for a week.The table shows how many they

planted on the first three days.

How many vegetables did they

plant by the end of the week?

Will the teacher’s desk fit through

the classroom door? If we cannot

move the desk from where it is,

how can we find out?

Explain what you need to do step

by step.

Card 49 Card 50

Day 1 2 3 4 5 6 7

Vegetables Planted 5 10 15


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Set A Set A

1. Who is 5 years older than

Donna?

2. Who is 2 years younger

Rod?

3. What is the difference in

the girls' ages?

What else can you tell about

the children’s ages?

Betty and Kim went shopping.

Use your calculator to find outwhat items they might have

bought.

Hat - $4 Shoes - $12 Coat - $7

Shirt - $6 Jacket - $15 Belt - $2

$27 _____ $10 ____

$11 _____ $16 ____

If you had $30, what itemswould you buy? Would you

have any money left over?

Explain your answers.

Card 51 Card 52

Rod11 years old

Donna6 years old

Judy9 years old


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Set A Set A

What would the 15th letter be in

this pattern?

ABAABAAAB. . .

Arches are made with two squares

and one trapezoid. If the builders

have six trapezoids, how many

squares do they need to make

arches?

Lilly played the bean bag toss game

at the fair.

She could throw 2, 3, or 4 bags at

a board with holes in it. Each hole

was worth a different number of

points. What are some ways to

score 65 points to win a prize?

Card 53 Card 54

15 3020

5

40

25


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Set A Set A

SSSSaaaadddd HHHHaaaappppppppyyyy

MMMMaaaadddd

GGGGooooooooffffyyyy SSSSlllleeeeeeeepppp

Who Am I?

1. I have ears.

2. My nose is a triangle.

3. I have a hat.

4. I have a bow tie.

Do all snack boxes of raisins

have the same number of raisins? Do all bags of M &

M's have the same number of

candies? Do all boxes of teddy

bear crackers have the same

number of crackers? Why or

why not? Make a plan to proveyour ideas.

Card 55 Card 56


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Set A Set A

What are the next three numbers

in this pattern?

77, 66, 55, 44, 33,

____, ____,_____.

What is the pattern?

3, 8, 13, 18, 23, . . .

What would be the tenth number

in this pattern?

I have some pennies, nickels,

and dimes in my pocket. I put

three coins in my hand. How

much money do you think

I have in my hand?

Card 57 Card 58


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Set A Set A

Draw the next sequence in this

pattern.

The song "Old MacDonald" has a

pattern. How is that pattern like ordifferent from the hearts and ovals

pattern?

On the way to the park, Tim saw

three flowers. Each flower hadtwo leaves. On each leaf was a

ladybug. Each ladybug had three

spots.

Tim saw ___ flowers.

Tim saw ___ leaves.Tim saw ___ ladybugs.

Tim say ___ ladybugs spots.

Draw a picture to show how

you found each number.

♥♥οοοο♥♥οοο♥♥οο

Card 59 Card 60


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Set A Set A

The students each had a nickel, a

dime, a penny, and a quarter.

The teacher said, "Put these

coins in order from the smallest

to the largest." Students did not

agree how to to this. What are

two ways they might have

ordered the coins? Explain.

Sarah Squirrel hid some nuts for

the winter. She sent SammySquirrel out to gather them. “How

many did you hide?” he asked

Sarah. “I hid more than six. I hid

less than 9. I hid a number that

can be divided between us

equally.” How many nuts did shehide?

Card 61 Card 62


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Set A Set A

Look at this picture.

Draw what you will see if you move

the circle to the left.

Look at this design.

What would you see if you left

off the squares?

Draw a triangle inside a circle

that is sitting on a rectangle.

There are four second-grade

teachers. Ms. Jolly has a rabbit

and a fish. Mrs. Woo has three

hamsters. Ms. Hunt has eight fish.

Mr. Hill has two rabbits and six

birds. Make a graph to show the

pets in the second grade. What are

two things you could tell from thisgraph?

Card 63 Card 64


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Set A Set A

How many squares do you see?

How many triangles do you see?

All of these are waggies.

None of these is a waggie.

Draw four new waggies.

Card 65 Card 66


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Set A Set A

K Problem Solving Deck A

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